Prerequisites: No prerequisites. Department approval NOT required. The beginning workshop in nonfiction is designed for students with little or no experience in writing literary nonfiction. Students are introduced to a range of technical and imaginative concerns through exercises and discussions, and they eventually submit their own writing for the critical analysis of the class. Outside readings supplement and inform the exercises and longer written projects.
Basic concepts of electrical engineering. Exploration of selected topics and their application. Electrical variables, circuit laws, nonlinear and linear elements, ideal and real sources, transducers, operational amplifiers in simple circuits, external behavior of diodes and transistors, first order RC and RL circuits. Digital representation of a signal, digital logic gates, flipflops. A lab is an integral part of the course. Required of electrical engineering and computer engineering majors.
Prerequisites: MATH UN1101 or the equivalent Vectors in dimensions 2 and 3, complex numbers and the complex exponential function with applications to differential equations, Cramers rule, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, surfaces, optimization, the method of Lagrange multipliers. (SC)
Prerequisites: some basic background in calculus or be concurrently taking MATH UN1101 Calculus I. The accompanying laboratory is PHYS UN1291-UN1292 The course will use elementary concepts from calculus. The accompanying laboratory is PHYS UN1291 - UN1292. Basic introduction to the study of mechanics, fluids, thermodynamics, electricity, magnetism, optics, special relativity, quantum mechanics, atomic physics, and nuclear physics.
Prerequisites: one semester of calculus. Designed for students who desire a strong grounding in statistical concepts with a greater degree of mathematical rigor than in STAT W1111. Random variables, probability distributions, pdf, cdf, mean, variance, correlation, conditional distribution, conditional mean and conditional variance, law of iterated expectations, normal, chi-square, F and t distributions, law of large numbers, central limit theorem, parameter estimation, unbiasedness, consistency, efficiency, hypothesis testing, p-value, confidence intervals, maximum likelihood estimation. Serves as the pre-requisite for ECON W3412.
Prerequisites: one semester of calculus. Designed for students who desire a strong grounding in statistical concepts with a greater degree of mathematical rigor than in STAT W1111. Random variables, probability distributions, pdf, cdf, mean, variance, correlation, conditional distribution, conditional mean and conditional variance, law of iterated expectations, normal, chi-square, F and t distributions, law of large numbers, central limit theorem, parameter estimation, unbiasedness, consistency, efficiency, hypothesis testing, p-value, confidence intervals, maximum likelihood estimation. Serves as the pre-requisite for ECON W3412.
Prerequisites: MATH UN1102 and MATH UN1201 or the equivalent Multiple integrals, Taylor's formula in several variables, line and surface integrals, calculus of vector fields, Fourier series. (SC)
Prerequisites: This course will use elementary concepts from calculus. Students should therefore have had some high school calculus, or be concurrently enrolled in MATH UN1101. Taken with accompanying lab PHYS UN1291- PHYS UN1292, the sequence PHYS UN1201- PHYS UN1202 satisfies requirements for medical school. Electricity, magnetism, optics, and modern physics.
Prerequisites: FREN BC1001, BC1002, BC1102, C1101 and C1102, or an appropriate score on the placement test. Further development of oral and written communication skills. Readings in French literature.
Advanced work in language skills. Readings in French literature. Prerequisites: FREN BC1203 or an appropriate score on the placement test.
NOTE: This course
does not
fulfill the Columbia College and GS language requirement.
Prerequisites: (MATH UN1101 and MATH UN1102). Vectors in dimensions 2 and 3, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, optimization, Lagrange multipliers, double and triple integrals, line and surface integrals, vector calculus. This course is an accelerated version of MATH UN1201 - MATH UN1202. Students taking this course may not receive credit for MATH UN1201 and MATH UN1202.
Prerequisites: (see "Guidance for First-Year Students" in the Bulletin). The second term of this course may not be taken without the first. Multivariable calculus and linear algebra from a rigorous point of view. Recommended for mathematics majors. Fulfills the linear algebra requirement for the major. (SC)
An introduction to the language of classical and modern Arabic literature. No P/D/F or R credit is allowed for this class.
Prerequisites: First Year Arabic I or instructor permission. An introduction to the language of classical and modern Arabic literature. No P/D/F or R credit is allowed for this class.
Recitation section for MATH UN1205 - Accelerated Multivariable Calculus.
Students must register for both UN1205 and UN1215.
Recitation section for MATH UN1208 Honors Math B.
Students must register for both UN1208 and UN1218.
Prerequisites: ITAL W1221 or sufficient fluency to satisfy the instructor. Corequisites: Recommended: ITAL V1201-V/W1202 or ITAL W1201-W1202. Conversation courses may not be used to satisfy the language requirement or fulfill major or concentration requirements. Intensive practice in the spoken language, assigned topics for class discussions, and oral reports.
This First-Year course will engage with literary expressions of the universally interesting topic of relationships. Tony Tanner in his
Adultery in the Novel
characterizes marriage as “the structure which supports all structure.” Contemporary critics have seen marriage as essential to maintaining the “family values” of the bourgeoisie; feminists and Marxists have challenged the economic assumptions of patriarchally-defined marriage. Folklorists have treated marriage as the endpoint of the search for a safe domestic space. We will touch on this subject, but will also turn to writing about other indispensable relationships that, increasingly, fill our lives. Animals and botanicals—and our relationship with nature—have become so obviously Important in the past ten years that they deserve to underpin our core values, too.
Starting with classic fairy tales and moving on to short fictions, contemporary American poetry, an affectionate study of the psyches of trees, and brief essays on animals we live with, this course will deliver an exportable cluster of ideas that may change our lives.
"I believe in the future of AI changing the world. The question is, who is changing AI? It is really important to bring diverse groups of students and future leaders into the development of AI.”
--
Fei-Fei Li, Professor, Denning Co-Director Stanford Institute for Human-Centered AI
Increasing numbers of AI experts and researchers emphasize the urgent need for college students to develop AI literacy, preparing them for evolving job markets, fostering ethical awareness, and ensuring equitable participation in an AI-driven society. To help them achieve AI literacy, this introductory-level course teaches students how to ethically and effectively use Generative AI (GAI) by exploring how GAI works, how to use it properly, and how to critically evaluate its output. Students will understand AI model functionality, distinguish GAI from traditional AI, examine issues of originality, authorship, intellectual property, copyright, plagiarism, fair use, accuracy, bias, environmental impacts, and privacy - all while developing meta-awareness about how AI simulates certain aspects of human creativity and cognition The course's placement in Barnard's English Department reflects the recognition that AI's development requires interdisciplinary perspectives beyond STEM, as AI research increasingly intersects with humanities and social sciences to address ethical, social, and cultural implications. Through ethics-focused assignments and writing projects culminating in a final research investigation in students' chosen fields, this course empowers students to resist pure AI reliance and actively control these technologies rather than remaining passive observers of AI's expanding influence in academia and society.
This course introduces students to urban dance styles, focusing on the foundations and origins of hip-hop dance, street dance culture, and the physical vocabularies of hip-hop and freestyle dance. Classes are geared to condition the body for the rigors of hip-hop technique by developing strength, coordination, flexibility, stamina, and rhythmic awareness while developing an appreciation of choreographic movement and structures. Compositional elements of hip-hop will be introduced and students may compose brief movement sequences.
Corequisites: PHYS UN1201 This course is the laboratory for the corequisite lecture course and can be taken only during the same term as the corresponding lecture.
Corequisites: PHYS UN1201,PHYS UN1202 This course is the laboratory for the corequisite lecture course (PHYS UN1201 - PHYS UN1202) and can be taken only during the same term as the corresponding lecture.
Corequisites: PHYS UN1201,PHYS UN1202 This course is the laboratory for the corequisite lecture course (PHYS UN1201 - PHYS UN1202) and can be taken only during the same term as the corresponding lecture.
Corequisites: PHYS UN1201,PHYS UN1202 This course is the laboratory for the corequisite lecture course (PHYS UN1201 - PHYS UN1202) and can be taken only during the same term as the corresponding lecture.
Corequisites: PHYS UN1201,PHYS UN1202 This course is the laboratory for the corequisite lecture course (PHYS UN1201 - PHYS UN1202) and can be taken only during the same term as the corresponding lecture.
Corequisites: PHYS UN1201,PHYS UN1202 This course is the laboratory for the corequisite lecture course (PHYS UN1201 - PHYS UN1202) and can be taken only during the same term as the corresponding lecture.
Corequisites: PHYS UN1201,PHYS UN1202 This course is the laboratory for the corequisite lecture course (PHYS UN1201 - PHYS UN1202) and can be taken only during the same term as the corresponding lecture.
Corequisites: PHYS UN1201,PHYS UN1202 This course is the laboratory for the corequisite lecture course (PHYS UN1201 - PHYS UN1202) and can be taken only during the same term as the corresponding lecture.
Corequisites: PHYS UN1201,PHYS UN1202 This course is the laboratory for the corequisite lecture course (PHYS UN1201 - PHYS UN1202) and can be taken only during the same term as the corresponding lecture.
Prerequisites: No prerequisites. Department approval NOT required. The beginning poetry workshop is designed for students who have a serious interest in poetry writing but who lack a significant background in the rudiments of the craft and/or have had little or no previous poetry workshop experience. Students will be assigned weekly writing exercises emphasizing such aspects of verse composition as the poetic line, the image, rhyme and other sound devices, verse forms, repetition, tone, irony, and others. Students will also read an extensive variety of exemplary work in verse, submit brief critical analyses of poems, and critique each others original work.
Emergence of revolutionary and counter-revolutionary mass political movements; European industrialization, nationalism, and imperialism; 20th-century world wars, the Great Depression, and Fascism.
In Elementary Armenian II, students learn the Armenian script and the basic grammar that will enable them to communicate about topics relating to themselves and their immediate surroundings: family, school, daily occupations, describing people, expressing likes and dislikes, requesting and giving information about themselves and others, proper forms of greetings, etc. They also begin to read signs, advertisements, and develop the skills to read texts like short stories and Armenian fables. No P/D/F or R credit is allowed for this class.
Prerequisites: ITAL UN2102 or sufficient fluency to satisfy the instructor. Conversation courses may not be used to satisfy the language requirement or fulfill major or concentration requirements. This course is designed for students who have attended four semesters of Italian language, mastered the grammatical structure of the language and are ready to expand and enlarge their language skills. A particular emphasis will be put on oral production, on listening and on reading: in class and at home the students will analyze various kinds of text and genres. In-class time is dedicated to speaking and practicing Italian through a combination of group-based and individual activities, focusing on a wide range of contemporary cultural themes through the use of varied materials such as newspaper articles, advertising material and short film clips. We will focus also on grammatical structures, language functions and activities to expand the vocabulary.
Prerequisites: knowledge of Spanish or another Romance language. An intensive beginning language course in Brazilian Portuguese with emphasis on Brazilian culture through multimedia materials related to culture and society in contemporary Brazil. Recommended for students who have studied Spanish or another Romance language. The course is the equivalent of two full semesters of elementary Portuguese with stress on reading and conversing, and may be taken in place of PORT W1101-W1102. For students unable to dedicate the time needed cover two semesters in one, the regularly paced sequence PORT W1101-W1102 is preferable.
This course is designed for movers with little or no experience with dance, or who are unfamiliar with modern dance styles. It is intended to introduce modern dance techniques, terminology, and historical context, as well as improve anatomical and spatial awareness, and foster physical confidence moving to music. Students of this course will also cultivate comfort with watching, interpreting, and discussing modern dance.
This course is designed for movers with some experience with dance, or who are unfamiliar with modern dance styles. It is intended to introduce modern dance techniques, terminology, and historical context, as well as improve anatomical and spatial awareness, and foster physical confidence moving to music. Students of this course will also cultivate comfort with watching, interpreting, and discussing modern dance.